This study aimed to synthesize and evaluate a STEAM Learning Ecosystem on Gamification System to Promote Innovators. The research was conducted in three phases: (1) synthesis, (2) development of the learning ecosystem, and (3) expert evaluation. The resulting ecosystem comprises three main elements: (1) STEAM Learning Ecosystem (Instructor,…

Even though there is a great temptation as teachers to share what is known, many are aware of an idea called "rules that expire" (RTE) and have realized the importance of avoiding them. There is evidence that students need to understand mathematical concepts and that merely presenting rules to carry out in a procedural and disconnected…

The concrete-representational-abstract (CRA) approach is an instructional framework for teaching math wherein students move from using concrete materials to solve problems to using visual representations of the materials, and finally abstract concepts. This study provides a literature synthesis and meta-analysis of the effectiveness of the CRA…

AI has transformed education by reshaping teaching and learning processes. ChatGPT plays a significant role in enhancing these processes; however, effective educator training is essential for its optimal use. Educators and researchers are increasingly adopting AI chatbots, expecting them to improve learning experiences and reduce teacher workload.…

Creative thinking is a fundamental skill for addressing the challenges of the 21st century, fostering innovation, and contributing to social, economic, and cultural development. Recognizing its significance, the OECD introduced creative thinking as part of the PISA 2022 assessment. This assessment evaluates students' capacity to generate,…

This study aims to describe metacognitive interventions for students who experience suspension of sense-making when solving integration problems based on the characteristics of students' thinking. This research applied a qualitative research approach and provided essay tests followed by task-based interviews to classify students who experience…

This study explores how three widely used US kindergarten mathematics textbooks, each written to align with the Common Core State Standards for Mathematics (CCSSM), vary in terms of content coverage, instructional grouping, and use of representational strategies. Results show that all textbooks (i) primarily emphasize math practices related to…

This article illustrates how teachers can use number lines to support students with or at risk for learning disabilities (LD) in mathematics. Number lines can be strategically used to help students understand relations among numbers, approach number combinations (i.e., basic facts), as well as represent and solve addition and subtraction problems.…

Physics experts and students commonly use a variety of representations when working with partial derivatives, including symbols, graphs, and words. One especially powerful representation is the contour graph. In open-ended problem-solving interviews with nine upper-division physics students, we asked students to determine derivatives from contour…

Over the course of the introductory calculus-based physics course, students are often expected to build conceptual understanding and develop and refine skills in problem solving and qualitative inferential reasoning. Many of the research-based materials developed over the past 30 years by the physics education research community use sequences of…

Chance favors the prepared mind, said Louis Pasteur. Sometimes, significant breakthroughs occur when we creatively integrate new information, leading to a creative insight or an Aha! moment, while at other times when we fail to use a clue, we remain stuck in our habitual thinking patterns. In this study, we hypothesized that the brain's transient…

In this article, we leverage ideas from the theory of coevolutionary computation to analyze interactions of students with problems. We introduce the idea of "informatively" easy or hard concepts. Our approach is different from more traditional analyses of problem difficulty such as item analysis in the sense that we consider Pareto…

Mathematics is an essential subject in schools, helping develop cognitive skills such as critical analysis, logical reasoning, and problem-solving. However, academic achievement in mathematics often declines, with some students having difficulty understanding mathematical ideas. Many factors influence mathematics achievement, including students'…

This study investigates the relationship between mathematical literacy and cognitive flexibility in solving complex problems among Indonesian elementary school students aged 9-10 n = 78. Utilizing a mixed-methods approach, the research combined quantitative testing and qualitative interviews to provide a comprehensive understanding of this…

The 21st-century skills seek to develop learners who will be problem solvers in society. This paradigm shift requires the use of learner-centered strategies that emphasize collaborative problem-solving. To explore the effectiveness of such approaches, this study sought to determine how effective Wheatley's problem-centered approach would be in the…